One root of f(x) = 2x3 9x2 7x – 6 is –3. explain how to find the factors of the polynomial.

We have the following polynomial:



The problem states that one root is -3. Thus, it is true that is a factor of the polynomial. Given that this is fulfilled, it is also true that:



We can find Q(x) by applying Ruffini's rule, thus:



Therefore:



The roots of this polynomial can be get as follows:



These are the roots along with . Finally, the factored polynomial can be written as follows: